In: Physics
1. You watch your toddler nephew rolling marbles toward the top of a staircase. There are 18 steps, each 30.0 cm deep horizontally, and separated by 20.0 cm vertically. The marbles leave the upper landing horizontally and are projected into the air, bouncing down the steps until they arrive at the lower floor.
(a)Suppose the marble is projected with a speed such that it lands on the ninth step and bounces upward at the same angle at which it struck the step, at the same speed. Argue that the marble will not hit another step before striking the floor of the lower landing.
2. If you know the position vectors of a particle at two points along its path and also know the time it took to get from one point to the other, can you determine the particle's instantaneous velocity and average velocity? Explain.